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Finding the Third Proportional to 121,357 and 252,399

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Solution

The third proportional to 121,357 and 252,399 is: 524,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,357 : 252,399 = 252,399 : x
  2. Step 2: Convert to fraction form
    121,357/252,399 = 252,399/x
  3. Step 3: Cross multiply
    121,357x = 252,399 × 252,399
  4. Step 4: Simplify right side
    121,357x = 63,705,255,201
  5. Step 5: Solve for x
    x = 63,705,255,201/121,357
  6. Step 6: Final answer
    x = 524,940.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.